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Zorluk: KolayPopulation Dynamics and Ecological Sampling

During an ecological survey of a savanna ecosystem in Nigeria, 40 grasshoppers were captured, marked with non-toxic paint, and released back into their habitat. A second sample of 50 grasshoppers captured two days later contained 10 marked individuals. What is the estimated total population size of grasshoppers in this habitat?

Cevap: 200 grasshoppers

Cevap

The estimated total population size of grasshoppers is 200.
Applying the Lincoln Index formula N=M×CRN = \frac{M \times C}{R} with M=40M = 40 marked initially, C=50C = 50 in the second capture, and R=10R = 10 recaptured marked individuals gives N=40×5010=200N = \frac{40 \times 50}{10} = 200 grasshoppers.

Adım Adım Çözüm

1
Identify the values from the capture-recapture sampling data.
Initial marked individuals M=40M = 40, second sample size C=50C = 50, recaptured marked individuals R=10R = 10.
These parameters are required for the Lincoln Index population size estimation formula.
2
Calculate the population size using N=M×CRN = \frac{M \times C}{R}.
N=40×5010=200N = \frac{40 \times 50}{10} = 200.
Multiplying the size of the first sample by the size of the second sample and dividing by the number of recaptured marked individuals yields the total population estimate.

Anahtar Kavram

Lincoln Index (Capture-Mark-Recapture Method)
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Konular

Population Dynamics and Ecological Sampling

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